Properties

Label 60840.d
Number of curves $1$
Conductor $60840$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 60840.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
60840.d1 60840m1 \([0, 0, 0, -2028, 457652]\) \(-173056/16875\) \(-89946586080000\) \([]\) \(147456\) \(1.3571\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 60840.d1 has rank \(2\).

Complex multiplication

The elliptic curves in class 60840.d do not have complex multiplication.

Modular form 60840.2.a.d

sage: E.q_eigenform(10)
 
\(q - q^{5} - 3 q^{7} - 2 q^{11} + 4 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display